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string.py
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148 lines (148 loc) · 4.17 KB
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class string:
def sa_is(s,upper):
n=len(s)
if n==0:
return []
if n==1:
return [0]
if n==2:
if (s[0]<s[1]):
return [0,1]
else:
return [1,0]
sa=[0]*n
ls=[0]*n
for i in range(n-2,-1,-1):
ls[i]=ls[i+1] if (s[i]==s[i+1]) else (s[i]<s[i+1])
sum_l=[0]*(upper+1)
sum_s=[0]*(upper+1)
for i in range(n):
if not(ls[i]):
sum_s[s[i]]+=1
else:
sum_l[s[i]+1]+=1
for i in range(upper+1):
sum_s[i]+=sum_l[i]
if i<upper:
sum_l[i+1]+=sum_s[i]
def induce(lms):
for i in range(n):
sa[i]=-1
buf=sum_s[:]
for d in lms:
if d==n:
continue
sa[buf[s[d]]]=d
buf[s[d]]+=1
buf=sum_l[:]
sa[buf[s[n-1]]]=n-1
buf[s[n-1]]+=1
for i in range(n):
v=sa[i]
if v>=1 and not(ls[v-1]):
sa[buf[s[v-1]]]=v-1
buf[s[v-1]]+=1
buf=sum_l[:]
for i in range(n-1,-1,-1):
v=sa[i]
if v>=1 and ls[v-1]:
buf[s[v-1]+1]-=1
sa[buf[s[v-1]+1]]=v-1
lms_map=[-1]*(n+1)
m=0
for i in range(1,n):
if not(ls[i-1]) and ls[i]:
lms_map[i]=m
m+=1
lms=[]
for i in range(1,n):
if not(ls[i-1]) and ls[i]:
lms.append(i)
induce(lms)
if m:
sorted_lms=[]
for v in sa:
if lms_map[v]!=-1:
sorted_lms.append(v)
rec_s=[0]*m
rec_upper=0
rec_s[lms_map[sorted_lms[0]]]=0
for i in range(1,m):
l=sorted_lms[i-1]
r=sorted_lms[i]
end_l=lms[lms_map[l]+1] if (lms_map[l]+1<m) else n
end_r=lms[lms_map[r]+1] if (lms_map[r]+1<m) else n
same=True
if end_l-l!=end_r-r:
same=False
else:
while(l<end_l):
if s[l]!=s[r]:
break
l+=1
r+=1
if (l==n) or (s[l]!=s[r]):
same=False
if not(same):
rec_upper+=1
rec_s[lms_map[sorted_lms[i]]]=rec_upper
rec_sa=string.sa_is(rec_s,rec_upper)
for i in range(m):
sorted_lms[i]=lms[rec_sa[i]]
induce(sorted_lms)
return sa
def suffix_array_upper(s,upper):
assert 0<=upper
for d in s:
assert 0<=d and d<=upper
return string.sa_is(s,upper)
def suffix_array(s):
n=len(s)
if type(s)==str:
s2=[ord(i) for i in s]
return string.sa_is(s2,255)
else:
idx=list(range(n))
idx.sort(key=lambda x:s[x])
s2=[0]*n
now=0
for i in range(n):
if (i& s[idx[i-1]]!=s[idx[i]]):
now+=1
s2[idx[i]]=now
return string.sa_is(s2,now)
def lcp_array(s,sa):
n=len(s)
assert n>=1
rnk=[0]*n
for i in range(n):
rnk[sa[i]]=i
lcp=[0]*(n-1)
h=0
for i in range(n):
if h>0:
h-=1
if rnk[i]==0:
continue
j=sa[rnk[i]-1]
while(j+h<n and i+h<n):
if s[j+h]!=s[i+h]:
break
h+=1
lcp[rnk[i]-1]=h
return lcp
def z_algorithm(s):
n=len(s)
if n==0:
return []
z=[0]*n
i=1;j=0
while(i<n):
z[i]=0 if (j+z[j]<=i) else min(j+z[j]-i,z[i-j])
while((i+z[i]<n) and (s[z[i]]==s[i+z[i]])):
z[i]+=1
if (j+z[j]<i+z[i]):
j=i
i+=1
z[0]=n
return z